Abstract

This work introduces a volume rendering technique that is conceptually based on the shear-warp factorization.
We propose to perform the shear transformation entirely in the frequency domain. Unlike the standard shear-warp
algorithm, we allow for arbitrary sampling distances along the viewing rays, independent of the view direction.
The accurate scaling of the volume slices is achieved by using the zero padding interpolation property. Finally, a high quality gradient estimation scheme is presented which uses the derivative theorem of the Fourier transform.
Experimental results have shown that the presented method outperforms established algorithms in the quality of
the produced images. If the data is sampled above the Nyquist rate the presented method is capable of a perfect
reconstruction of the original function.

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BibTeX

@inproceedings{Artner-2005-Hig,
title = "High-Quality Volume Rendering with Resampling in the
Frequency Domain",
author = "Martin Artner and Torsten M\"{o}ller and Ivan Viola and
Meister Eduard Gr\"{o}ller",
year = "2005",
abstract = "This work introduces a volume rendering technique that is
conceptually based on the shear-warp factorization. We
propose to perform the shear transformation entirely in the
frequency domain. Unlike the standard shear-warp algorithm,
we allow for arbitrary sampling distances along the viewing
rays, independent of the view direction. The accurate
scaling of the volume slices is achieved by using the zero
padding interpolation property. Finally, a high quality
gradient estimation scheme is presented which uses the
derivative theorem of the Fourier transform. Experimental
results have shown that the presented method outperforms
established algorithms in the quality of the produced
images. If the data is sampled above the Nyquist rate the
presented method is capable of a perfect reconstruction of
the original function.",
month = jun,
booktitle = "Proceedings of EuroVis",
isbn = "3-905673-19-3",
location = "Leeds, United Kingdom",
pages = "85--92",
URL = "https://www.cg.tuwien.ac.at/research/publications/2005/Artner-2005-Hig/",
}